Answer:
6
Step-by-step explanation:
It is ALWAYS helpful to sketch the appropriate figure.
That will make clear that 3x = x+4, by the definition of midpoint.
Then you solve the equation and you get x=2, so that PQ = 6.
The real part of the result is the product of the real parts of the factors and the product of the imaginary parts:
a = 15*6 - (-4)(-3) = 90 -12 = 78
_____
You can treat this the same as any other product of binomials except that i² = -1.
... (15 -4i)(6 -3i) = 15(6 -3i) -4i(6 -3i) = 15·6 -15·3i -4·6i +4·3i²
... = 90 -45i -24i +12i² = (90 -12) -69i = 78 -69i
Answer:
2.3
Step-by-step explanation:
To convert a fraction to a decimal you must divide the numerator by the denominator. By doing so, you receive the decimal of 2.3
Is f(-5) = |-3(-6)| - 1 = 17 ? yes
Is f(-2) = |-3(-3)| - 1 = 8 ? yes
Is f(-1) = |-3(-2)| - 1 = 5 ? yes
Is f(0) = |-3(-1)| - 1 = 2 ? yes
Is f(1) = |-3(0)| -1 = -1 ? yes
Is f(3) = |-3(2)| - 1 = 5 ? yes
